151556256 has 72 divisors (see below), whose sum is σ = 439164180. Its totient is φ = 49560576.

The previous prime is 151556239. The next prime is 151556263. The reversal of 151556256 is 652655151.

151556256 is a `hidden beast` number, since 1 + 51 + 556 + 2 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151290000 + 266256 = 12300^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151556256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10300 + ... + 20228.

Almost surely, 2^151556256 is an apocalyptic number.

151556256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151556256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219582090).

151556256 is an abundant number, since it is smaller than the sum of its proper divisors (287607924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151556256 is a wasteful number, since it uses less digits than its factorization.

151556256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9987 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 151556256 is about 12310.8186567750. The cubic root of 151556256 is about 533.1604870444.

The spelling of 151556256 in words is "one hundred fifty-one million, five hundred fifty-six thousand, two hundred fifty-six".